DYNAMIC RELAXATION IN THE ITERATIVE METHODS FOR SOLVING NONLINEAR THREE-PHASE CIRCUITS

Authors

  • CLAUDIU TUFAN INFINEON Technologies Romania & CO. SCS Author
  • MIHAI-EUGEN MARIN Faculty of Electrical Engineering, Politehnica University of Bucharest, Romania Author
  • GEORGE-MARIAN VASILESCU Faculty of Electrical Engineering, Politehnica University of Bucharest, Romania Author
  • RADU-MIRCEA CIUCEANU Faculty of Electrical Engineering, Politehnica University of Bucharest, Romania Author
  • MIHAI MARICARU Faculty of Electrical Engineering, Politehnica University of Bucharest, Romania Author

DOI:

https://doi.org/10.59277/RRST-EE.2023.3.7

Keywords:

Nonlinear three-phase circuits, Picard-Banach iterative solution, Hănțilă method, Convergence acceleration, Dynamic overrelaxation

Abstract

The Hănțilă method has proven its effectiveness in solving non-linear three-phase circuits. It is the only effective method for analyzing non-linear three-phase circuits containing machines with different sequence reactances. Since solving a system of equations is unnecessary, the computational effort is reduced, and a large number of harmonics can be considered. The convergence of the method is certain - demonstrated mathematically and allows the use of overrelaxation. To develop the method, we analyze the efficiency of computing a dynamic overrelaxation factor for accelerating the computational algorithm.

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Published

12.10.2023

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Section

Électrotechnique et électroénergétique | Electrical and Power Engineering

How to Cite

DYNAMIC RELAXATION IN THE ITERATIVE METHODS FOR SOLVING NONLINEAR THREE-PHASE CIRCUITS. (2023). REVUE ROUMAINE DES SCIENCES TECHNIQUES — SÉRIE ÉLECTROTECHNIQUE ET ÉNERGÉTIQUE, 68(3), 289-294. https://doi.org/10.59277/RRST-EE.2023.3.7